60. Students were asked to write a trinomial that could not be factored using integers.
Patricia wrote: x2 + 5x - 14
Shelly wrote: x2 - x - 30
Melanie wrote: x2 + 4x - 2
Lisa wrote: x2 + 4x - 5
Which student followed the given directions?
-
-

Answers

Answer 1

Melanie write the quadratic equation x^2 + 4x - 2 according to the directions that write a trinomial that could not be factored using integers.

What is a quadratic equation?

Any equation of the form [tex]\rm ax^2+bx+c=0[/tex]  where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

Patricia wrote:

[tex]\rm x^2+5x-14=0\\\\\rm x^2 -2x+7x-14=0\\\\\rm (x-2)(x+7)[/tex]

Shelly wrote:

[tex]\rm x^2-x-30=0\\\\\rm x^2-6x+5x-30=0\\\\\rm (x-6)(x+5)=0[/tex]

Melanie wrote:

[tex]\rm x^2+4x-2=0[/tex]

Here is the value of D:

[tex]\rm D = \sqrt{4^2-4(1)(-2)}[/tex]

D = √24

Lisa wrote:

[tex]\rm x^2+4x-5=0\\\\\rm x^2-x+5x-5=0\\\\\rm (x-1)(x+5)[/tex]

Thus, Melanie write the quadratic equation x^2 + 4x - 2 according to the directions that write a trinomial that could not be factored using integers.

Learn more about quadratic equations here:

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Related Questions

Please Help! Locks in an hour! Will give brainlest!

Answers

Letter C, 0,2π

Step-by-step explanation:

0, 2π is the answer

mark me brainlest thankss!

help me please :)

Evaluate the expressions 3x- 2 and 4x+ 4 for the following values of a. When you have found the value for each expression, write a statement using <, >, or = that shows how the two values are related.

Answers

Answer:

-8<-4

Step-by-step explanation:

Given expressions:

[tex]3x-2\\4x+4[/tex]

(a)

When x = 0:

[tex]=3(0)-2[/tex]

[tex]=-2[/tex]

[tex]=4(0)+4\\=4[/tex]

Answer:

-2<4

(b)

When x = -6

[tex]=3(-6)-2\\=-18-2\\=-20[/tex]

[tex]=4(-6)-2\\=-24-2\\=-26[/tex]

Answer:

[tex]-20 > -26[/tex]

(c)

When x = 5:

[tex]=3(5)-2\\=15-2\\=13[/tex]

[tex]=4x+4\\=4(5)+4\\=20+4\\=24[/tex]

Answer:

13<24

(d)

When x = -2:

[tex]=3(-2)-2\\=-6-2\\=-8[/tex]

[tex]=4x+4\\=4(-2)+4\\=-8+4\\=-4[/tex]

Answer:

-8<-4

math please help me ​

Answers

Answer:

Step-by-step explanation:

1. angle y will correspond to angle Q.

2. They are not similar since the side Q R has the line going 2 squares and the corresponding side YZ has the line passing three squares

Subtract 7/10 - 3/22 . Simplify the answer.

Answers

Answer:       31/55 = 0.56364

Step-by-step explanation:


STEP 1:         Simplify   3/22


Equation at the end of step 1:


7/10 - 3/22

STEP 2:   Simplify 7/10


Equation at the end of step 2:


7/10 - 3/22


STEP 3:Calculating the Least Common Multiple : 3.1    Find the Least Common Multiple       The left denominator is :       10       The right denominator is :       22 

4 less than four times a number is equal to three times the same number plus 1

Answers

Answer:

True

Step-by-step explanation:

5 x 4 - 4 = 16

5 x 3 + 1 = 16

PLEASE HELP!!! 90 POINTS
In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Harper sets up a website where players can buy and sell these costumes online. Information about the number of people who visited the website and the number of costumes purchased in a single day is listed below. 206 visitors purchased no costume. 23 visitors purchased exactly one costume. 3 visitors purchased more than one costume. If next week, she is expecting 400 visitors, about how many would you expect to buy more than one costume? Round your answer to the nearest whole number.

Answers

Answer:

5

Step-by-step explanation:

206 = 0

26 = 1

3 = 2-higher

206+26=232+3=235

3/235

6/470

235 is about 200

5/400

Solve the system of equations! I will mark branliest!

Answers

Answer:

x = -166, y = 34

Step-by-step explanation:

5(x+2y) - 3 = 3x+5

4(x-3y) - 50 = -33y

Open both equations

5x+10y - 3 = 3x+5

2x+10y = 8

4x-12y - 50 = -33y

4x+21y = 50

Now multiply -2 on both sides of 1st equation.

(easier to add both equations.)

-4x+-20y = -16

4x+21y = 50

Add both equations

x cancels out

y = 34

plug y back into other equation to find x

2x + 340 = 8

2x = -332

x = -166

Answer:

y = 34, x = -166

Step-by-step explanation:

Let's simplify the first equation.

5(x + 2y) - 3 = 3x + 5

We can multiply the 5 out:

5x + 10y - 3 = 3x + 5

Now let's isolate x on one side, although you can choose to isolate y if you want to. Subtract 3x on both sides:

2x + 10y - 3 = 5

Add 3 on both sides and subtract 10y on both sides.

2x = 8 - 10y

Divide 2 on both sides.

x = 4 - 5y

Now to the next equation!

4(x - 3y) - 50 = -33y

Multiply 4 out:

4x - 12y - 50 = -33y

Add 12y and 50 on both sides.

4x = -21y + 50

Now divide 4 on both sides!

x = -5.25y + 12.5

Now we have these equations:

x = 4 - 5y

x = -5.25y + 12.5

Therefore 4 - 5y = -5.25y + 12.5

Once again let's isolate the variable. Let's add 5.25y on both sides and subtract 4 on both sides:

0.25y = 8.5

Now multiply by 4 on both sides to bring y's coefficient to 1:

y = 34

Let's substitute the y value into the equation x = 4 - 5y to get x = 4 - 136 = -132

Which radical expression is equivalent to x 1/8

Answers

Answer:

B

Step-by-step explanation:

using the rule of exponents

[tex]x^{\frac{a}{b} }[/tex] = [tex]\sqrt[b]{x^{a} }[/tex]

then

[tex]x^{\frac{1}{8} }[/tex] ( with a = 1 , b = 8 )

= [tex]\sqrt[8]{x}[/tex]

Jonathan purchased 30 markers for $5.40. What is the price per marker?

Answers

Answer: 0.18 is your answer

Step-by-step explanation:

If 30 markers = $5.40
Then 1 marker = 5.4/30=$ 0.18
Hence the price of a marker is $ 0.18

I need help ASAP! This is geometry class

Answers

Simple area working out:

Area of a triangle: L x W
———
2

Area of a square: L x W


17 (L) x 17 (H) = 289cm^2

289
——- = 144.5cm^2
2

There are 4 triangles so:

144.5 x the amount of triangles (4) = 578

Add everything together:

578 + 289 = 867

Answer: 867

In a state lottery, there are 12 finalists who are eligible for the Big Money Draw. In how many ways can the first, second, and third prizes be awarded if no ticket holder can win more than one prize? ways

Answers

Answer: 1320 ways

Step-by-step explanation:

In this scenario, 12 finalists are eligible for the money draw and no finalist can win more than one prize.

So for the 1st prize we have 12 finalists

For the 2nd prize we have 11 finalists

And finally, for the 3rd prize we have 10 finalists

Using the multiplication principle:

Total number of ways = 12 x 11 x 10

= 1320

Therefore, there are 1320 ways the first, second, and third prizes be awarded

If we know the value of b, the slope of the regression line, we can accurately guess the value for the correlation coefficient without looking at the scatterplot.
A. True
B. False

Answers

Answer:

A True

Step-by-step explanation:

I am in 12th grade and make straight A's trust me on the answer

Yes it is true that if we know the value of [b], the slope of the regression line, we can accurately guess the value for the correlation coefficient without looking at the scatterplot.

What is Scatterplot?

A scatter plot is a type of plot or mathematical diagram using Cartesian coordinates to display values for typically two variables for a set of data.

Given is the statement -

" If we know the value of [b] the slope of the regression line, we can accurately guess the value for the correlation coefficient without looking at the scatterplot ".

A correlation coefficient is a statistical measure of the degree to which changes to the value of one variable predict change to the value of another. Mathematically, it is given by -

[tex]$r =\frac{\sum\left(x_{i}-\bar{x}\right)\left(y_{i}-\bar{y}\right)}{\sqrt{\sum\left(x_{i}-\bar{x}\right)^{2} \sum\left(y_{i}-\bar{y}\right)^{2}}}[/tex]

The slope of the regression line can be used to estimate the correlation coefficient without looking at the scatterplot. For '+' slope, the  correlation coefficient is positive and for '-' slope the correlation coefficient is negative.

Therefore, yes it is true that if we know the value of [b], the slope of the regression line, we can accurately guess the value for the correlation coefficient without looking at the scatterplot.

To solve more questions on scatterplots, visit the link below -

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what percent of your daily intake of sodium would you eat if you had 6 cookies​

Answers

Step-by-step explanation:

about 7% (not exactly 7%, just about)

Answer:

About 7% sodium.

The rest is information you may find important later.

For homemade chocolate chip cookies.

18.72% (For the recommended calorie intake of a man, 2,500 a day)23.4% (For the recommended calorie intake of a woman, 2,000 a day)

__________________________________________________________

Questions about percentage? Feel free to ask me in the comments box.

hhhhhheeeelllppppp meee

Answers

Answer: I got a answer of 23.3 but nearest would be 24

How much water does a rectangular tank with a square base of 2.5 yards and a height of 4 yards
hold?

Answers

Area of base:-

side²2.5²6.25yd²

Volume:-

Area of base×Height6.25(4)25yd³

The coordinate plane below has 4 points plotted on it.
y
А
10
9
8
7
H
6
5
4
С
3
2.
1
0 1 2 3 4 5 6 7 8 9 10
For which point is the difference between its x- and y-coordinates the greatest?
A
Point A
B
Point C
C
Point H
D
Point L

Answers

i THINK THE ANSWER IS b

i just need the answers and ill do the labels​

Answers

The two angles form a straight line of 180 degrees.

This means they add to 180

115 + (4n-5) = 180

4n+110 = 180

4n = 180-110

4n = 70

n = 70/4

n = (35*2)/(2*2)

n = 35/2 is the answer as a fraction

n = 17.5 is the answer in decimal form

What fraction lies halfway between 2/3 and 3/4

Answers

the fraction that lies will be one 1 half

Step-by-step explanation:

yes

Answer:

I believe its 17/24

Step-by-step explanation:

hope this helps

hi, here is a hard puzzle im stuck on

o = 0
xox = 3
oxxx = 24
oxoxx = 40
oooxox = 24
xxxo = ??????

Answers

Answer:

shouldnt that suppose to be 24

Step-by-step explanation:

oxxx and xxxo is kanda same isnt it/

Please Help!
Select all of the expressions that are equivalent to 10x-30.
Select all that apply.

Answers

Answer:

10(x-3)

5(2x-6)

option 1 and option 3

1 2 3 4 5 6 7 8 9 kda kdhlad ha kdlahda dkahdlkh ak hakl

Answers

Answer:

free point ??

Step-by-step explanation:

thanks to you how r U doing

What’s the answer for this…


Solve for p

2p + 3 > 2 (p – 3)

Answers

Answer:

All real numbers

Step-by-step explanation:

[tex]2p+3 > 2(p-3)[/tex]

1. Distribute the 2 on the right side of the inequality.

[tex]2p+3 > 2p-6[/tex]

2. Cancel out the 2p on both sides of the equation since they are equal.

[tex]3 > -6[/tex]

The statement above is always true, meaning that p can be all real numbers, therefore having all real solutions.

Lamont sliced 5 small oranges into equal fifths. He then ate 6/5 of the oranges. How is this fraction written as a decimal number?​

Answers

Answer: It is 1.2 in decimal number format

Please give brainliest if this makes the most sense!

8. The drawing below represents a new garden that will be bordered with alternating sections of
brick and concrete. All of the sections will cover approximately the same area.
Section 1
I
А
If Section 1 uses concrete to cover approximately 9 square feet, which is closest to the total
area that will be covered with the concrete sections?
40 square feet
B. 55 square feet
C 70 square feet
D. 95 square feet

Answers

According to the information, it can be inferred that the option that is closest to the area occupied is 40 square feet (option A).

How to calculate the total area covered with brick and concrete?

To calculate the total area covered with brick and concrete we must identify how many sections of brick the garden will have, according to the image it can be inferred that there are four sections of brick and concrete in total.

According to the above, what we must do is multiply the area of the section by the number of sections (4).

9 square feet × 4 = 36 square feet.

So option A, 40 square feet is the closest to the total area occupied by bricks. Then it would be the correct option.

Learn more about square feet in: https://brainly.com/question/11426645

Donald bought 2 game controllers at Gamestop for $36. Each one cost the same amount. What is the unit rate for a single controller? & Jake was offered the following amounts of an entire pizza: 0.6, 4/5, or 0.75. Jake really likes pizza and wants the largest amount of pizza he can get. Which of the amounts should he select?

Answers

Answer:

See below ~

Step-by-step explanation:

Question #1

Donald bought 2 controllers for $36Unit rate = Amount / Number of controllersUnit rate = $36 / 2Unit rate = $18 per controller

Question #2

0.6, 4/5, 0.75We have to convert them all into either: fractions or decimalsLet's go with decimals0.6, 0.75 and 4/54/5 = 0.80.6 < 0.75 < 0.8Jake should select the 4/5 piece as it is the largest

whats another way to write 11/9

Answers

Answer:

110/90

Step-by-step explanation:

There are infinite ways to write this, but the one above is one of the ways.

Answer:

There are many ways to write 11/9.

We can find equivalent fraction like 22/18 or 110/90.

We can turn it into a decimal (1.222222 the 2 repeats)

or we can turn it into a percent of 12.2222 (the 2 repeats)

i am really confused

Answers

234

The triangle it self (using SSS) is 54 square feet
The rectangle is 180 sq ft
Add them up and it’s 234 :]

Answer:

215.7176 ft^2

Step-by-step explanation:

One step at a time.

First, let's figure out what the square area is.

12 ft by 15 ft = A=wl=15·12=180 ft^2

Now we add the tringle area: K = 35.7176 ft2

Add: 215.7176 ft^2

Sides:

a = 12 ft

b = 7.93725 ft

c = 9 ft

Other:

P = 28.9373 ft

s = 14.4686 ft

K = 35.7176 ft2

r = 2.46863 ft

R = 6 ft

Agenda:

A = angle A

B = angle B

C = angle C

a = side a

b = side b

c = side c

P = perimeter

s = semi-perimeter

K = area

r = radius of inscribed circle

R = radius of circumscribed c

PLEASE HELP ME DUE TODAY!!!! (17 points)

Answers

Answer:

3. C

4. I'm gonna say 9 points

Step-by-step explanation:

Please help I will give brainliest.

Answers

Answer: See below

Step-by-step explanation:

[tex]$$Given that,Height of ball hit by Phil,$$\begin{aligned}f(t) &=(-16 t-2)(t-2) \\&=-16 t^{2}-2 t+16 \times 2 t+4 \\&=-16 t^{2}+30 t+4\end{aligned}[/tex]

[tex]$$Part 1 \\ From the graph $B$ all hit by the John hits the court at $t=1 \mathrm{sec}$After hitting the ground position will be zero.Then.$$\begin{aligned}0 &=-16 t^{2}+30 t+4 \\& \Rightarrow t=2 \sec \text { or } \mathrm{t}=-\frac{1}{8}\end{aligned}$$Time cannot be negative, so the accepeted value is $2 \ \mathrm{sec}$.That is after $2 \sec$ the ball hit by Phill will reach the ground \\Therefore, the ball hit by John will hit the court first at $t=1 \sec$[/tex]

[tex]$$Part 2 \\Maximum height reached by the Phill's ball,$$f_{\max }=-16 \times\left(\frac{15}{16}\right)^{2}+30 \times \frac{15}{16}+4=18.06 \mathrm{ft}$$From the graph, the maximum height reached by John's ball is $6.2 \mathrm{ft}$ $\underline{\text { So }}$ Phil's tennis ball reach a higher maximum than John's tennis ball[/tex]

[tex]$$Part 3 \\The maximum height reached by the Phill's ball,$$f_{\max }=-16 \times\left(\frac{15}{16}\right)^{2}+30 \times \frac{15}{16}+4=18.06 \mathrm{ft}=18 \mathrm{ft}$$[/tex]

Answer and show all of your work.

Answers

Answer:

105 shifts

Step-by-step explanation:

Hourly net rate of pay = $12

1 shift = 8 hours

⇒ net pay per shift = $12 × 8 = $96

Total cost  = tuition + residence + books

                  = $4500 + $4800 + $700

                  = $10,000

To calculate how many shifts Joanne needs to work, divide the total cost by the pay per shift and round it up:

Number of shifts = total cost ÷ net pay per shift

                            = $10,000 ÷ $96

                            = 104.1666666...

                            = 105 shifts

Note: we need to round up, as if Joanne works 104 shifts, she will earn $9,984 which is not quite enough to pay for tuition, residence and books.

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